Finding the Fourth Proportional to 1,067.62, 1,601.42 and 417.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,067.62 : 1,601.42 = 417.89 : x
2. Step 2: Convert to fraction form
   1,067.62/1,601.42 = 417.89/x
3. Step 3: Cross multiply
   1,067.62x = 1,601.42 × 417.89
4. Step 4: Simplify right side
   1,067.62x = 669,219.32
5. Step 5: Solve for x
   x = 669,219.32/1,067.62
6. Step 6: Final answer
   x = 626.83